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Contact Information Dr. Ronald Buelow Phone: 262-510-2046 Office: 414-443-8553 Email: [email protected] Course Web Site bit.ly/MAT117 MATH 117, Elementary Statistics M,W,F 10:30 – 11:20, Room: S112 M,W,F 2:30 – 3:20, Room: S112 I. Course Description Beginning statistical theory and practice are introduced through topics of data collection, sampling techniques, organization and presentation of data, measurement of central tendency, probability concepts, statistical estimation, hypothesis testing, correlation analysis, linear regression and analysis of variance. There will also be some time devoted to symmetry and examples of mathematical precision and beauty in God's Creation. II. Course Objectives A. The student will develop an appreciation of the beauty and order of mathematics as one of God's generous gifts to man. B. The student will master graphical and numerical data description and analysis. C. The student will master basic methods of sampling and design of statistical studies. D. The student will draw appropriate conclusions, make appropriate inferences, and account for variability. III. Learning Objectives A. Chapter 1: Picturing Distributions with Graphs 1.1 Identify categorical and quantitative variables 1.2 Interpret and produce histograms 1.3 Interpret and produce stemplots 1.4 Interpret and produce time plots B. Chapter 2: Describing Distributions with Numbers 2.1 Find the mean of data 2.2 Find the median of data 2.3 Compare the mean and the media 2.4 Find quartiles 2.5 Determine the five-number summary and boxplots 2.6 Determine the standard deviation of data 2.7 Determine which measures of center and spread to utilize 1 C. Chapter 3: The Normal Distributions 3.1 Interpret density curves 3.2 Evaluate the median and the mean of a density curve 3.3 Understand normal distributions 3.4 Understand and use the 68-95-99.7 rule 3.5 Understand and utilize the standard normal distribution 3.6 Be able to make normal distribution calculations 3.7 Given a proportion, able to find a value D. Chapter 4: Scatterplots and Correlation 4.1 Understand and utilize explanatory and response variables 4.2 Understand and produce scatterplots 4.3 Interpret scatterplots 4.4 Add categorical variables to scatterplots 4.5 Understand and utilize correlation E. Chapter 5: Regression 5.1 Understanding the least-squares regression line 5.2 Application of the least-squares regression line 5.3 Understanding residuals 5.4 Understanding influential observations in regression 5.5 Understanding that association does not imply causation F. Chapter 6: Two-Way Tables 6.1 Marginal distributions 6.2 Relationships between categorical variables 6.3 Conditional distributions 6.4 Simpson’s Paradox G. Chapter 8: Producing Data: Sampling 8.1 Observation versus experiment 8.2 Sampling 8.3 Simple random samples 8.4 Other sampling designs 8.5 Cautions about sample surveys 8.6 Inference about the population H. Chapter 10: Introducing Probability 10.1 The idea of probability 10.2 Thinking about randomness 10.3 Probability models 10.4 Probability rules 10.5 Assigning probabilities 10.6 Normal probability models 10.7 Random variables I. Chapter 11: Sampling Distributions 11.1 Parameters and statistics 11.2 Statistical estimation and the law of large numbers 11.3 Sampling distributions 11.4 The sampling distribution of the mean 11.5 The central limit theorem 2 J. Chapter 12: General Rules of Probability 12.1 Independence and the multiplication rule 12.2 Applyging the multiplication rule 12.3 The general addition rule 12.4 Conditional probability 12.5 The general multiplication rule 12.6 Independence 12.7 Tree diagrams IV. Course Methodology and Materials About the first 15 minutes of each class period will be used to answer student questions, and to give surprise review quizzes. The remainder of the hour will be used for lecture, discussion, demonstration and class work. Homework exercises will be assigned for each chapter. Homework will not be formally evaluated often, but it is absolutely essential that students keep current and do all homework exercises. In this way they will understand where their difficulties lie and be able to ask questions in class or during office hours, or over the telephone, and thus build on their knowledge in ensuing class periods. WARNING: Learning mathematics is a cumulative experience. New knowledge depends on understanding previous material. For this course it is imperative that you do you work every day and seek extra help in office hours when necessary. If you are unprepared even once, you may never catch up. Required Text: The Basic Practice of Statistics by David S. Moore, 5th edition, copyright 2010, ISBN-10: 1-4292-0121-5, ISBN-13: 978-1-4292-0121-6. Each student must make use of a computer and Microsoft’s Exel software. Computers are available in the WLC library. V. Evaluation of Student Work Grading will be done by category and percentage as follows: Chapter or Unit Tests Comprehensive Exam Quizzes Assignments, etc. 35% 30% 20% 15% Approximate grade ranges: Grade Achievement Percentage A Superior AB B Good BC C Satisfactory CD Grade Points 94 –100 4.0 90 – 93 3.5 84 – 89 3.0 80 – 83 2.5 74 - 79 2.0 70 - 73 1.5 D Minimum Passing 60 - 69 1.0 F Failing 0 - 59 0.0 3 VI. Approximate Course Schedule & Calendar A. B. C. D. E. VII. Description Examining Distributions Examining Relationships Sampling Distributions & Probability Introduction to Inference Symmetry, Statistics Lies Chapters 1-3 4-6 8, 10-12 14 # class sessions 10 12 12 6 2 Attendance Policy A. Attendance is expected at every meeting of the class. B. Students should notify the instructor of excuses for class absence, before the class for that day by phone or email. C. Whether present or absent the student shall be accountable for all classroom learning experience, all announcements made in class, and all assignments. D. If the student has not excused their absence any quizzes given, tests given, or assignments collected that day will be counted as a 0% (zero) grade. These grades cannot be made up. Please Note: Students who are in choir, band, athletics, or any other group representing WLC are required to excuse their absences in advance, themselves. Excuses may be sent by email to [email protected], or text message to: 262-510-2046, or voice at : 262-510-2046. E. In the event a student is absent from a test for a valid reason, and has excused their absence, the student is responsible for making prompt arrangements with the instructor for a make-up test. F. VIII. Attending another section of the same class is acceptable. Please check with the professor in advance. Changing sections to take a quiz or test at a different time than you are scheduled is only allowed with advance permission. Instructor Availability 4